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There are factors such as genetic tendencies, age etc which favour male or female offspring so that the probability of a male offspring is not uniformally 1/2.

Next, the question does not specify how many offspring in all, so the possible sequences could be

[any sequence whether or not containing MMM] followed by [MMM] followed by [any sequence whether or not containing MMM].

As the sequence grows longer, the probability that somewhere in the sequence there are 3 male offspring in a row increases.

For 3 offspring, the probability is 1/8 = 0.125

for 8 offspring, the probability is 107/256 = 0.418

The probabilities would need to be weighted together using the proportion of families that have 3 children, 4 children, and so on.

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Q: What is the probability of having 3 male offspring in a row?
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